Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/881, 87/190, 824/947 quickly i.e. 5519976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/881, 87/190, 824/947 is 5519976.
LCM(77/881, 87/190, 824/947) = 5519976
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/881,87/190,824/947
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 77,87,824
Least Common Multiple of Numerators i.e. LCM of 77,87,824 is 5519976.
GCF of Denominators means GCF of 881,190,947 as per the given fractions.
GCF of 881,190,947 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,87,824
Given numbers has no common factors except 1. So, there LCM is their product i.e 5519976
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 77,87,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,87,824) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,87,824) x common factors =1 x 1 = 1
LCM(77,87,824) = ( 77 × 87 × 824 ) / 1
LCM(77,87,824) = 5519976 / 1
LCM(77,87,824) = 5519976
Lets's calculate GCF of 881,190,947
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5519976/1
Therefore the LCM of Fractions 77/881,87/190,824/947 is 5519976
Factors of 881
List of positive integer factors of 881 that divides 881 without a remainder.
1,881
Factors of 190
List of positive integer factors of 190 that divides 190 without a remainder.
1,2,5,10,19,38,95,190
Factors of 947
List of positive integer factors of 947 that divides 947 without a remainder.
1,947
Greatest Common Factor
We found the factors 881,190,947 . The biggest common factor number is the GCF number.
So the greatest common factor 881,190,947 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 77/881, 87/190, 824/947?
Answer: LCM of Numerators as per given numbers 77/881, 87/190, 824/947 is
LCM of Numerators i.e. for 77,87,824 is 5519976
GCF of denominators i.e. for 881,190,947 is 1.
Thus, LCM of Fractions is 5519976.Finally, LCM of Fractions for 77/881, 87/190, 824/947 is 5519976.